Question

известно, что (4/p)+p=6. Найдите (16/p²)+p²​

Answer 1

(4/р) + p = 6

((4/p) + p)² = 6²

(4/p)² + 2 * 4/p * p + p² = 36

16/p² + 8 + p² = 36

16/p² + p² = 36 - 8 = 28

Answer 2

$displaystyle tt frac{4}{p}+p=6\\\bigg(frac{4}{p}+pbigg)^{2}=6^{2}\\\bigg(frac{4}{p}bigg)^{2}+2cdotfrac{4}{p}cdot p+p^{2}=36\\\frac{16}{p^{2}}+8+p^{2}=36\\\frac{16}{p^{2}}+p^{2}=28$